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tresset_1 [31]
2 years ago
15

Whats the answer? and how did I get my answer?

Mathematics
1 answer:
Kamila [148]2 years ago
7 0

Answer:

40°

Step-by-step explanation:

Angle 1 and Angle 2 are corresponding angles.

Corresponding angles are congruent, so 3x + 4 = 5x - 20

Solving 3x + 4 = 5x - 20

3x = 5x - 24

2x = 24

x = 12

Substitute angle 1

3x + 4 = 36 + 4 = 40

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during a softball game kay hit a fly ball the function f(x) = -16t^2 + 64t + 4 describes the height of the softball in feet. mak
STatiana [176]
<h2>Hello!</h2>

The graph is attached.

To graph a parabola we need to know the following:

- If the parabola is open upwards or downwards

- They axis intercepts (if they exist)

- The vertex position (point)

We are given the function:

f(t)=-16t^{2}+64t+4

Where,

a=-16\\b=64\\c=4

For this case, the coefficient of the quadratic term (a) is negative, it means that the parabola opens downwards.

Finding the axis interception points:

Making the function equal to 0, we can find the x-axis (t) intercepts, but since the equation is a function of the time, we will only consider the positive values, so:

f(t)=-16t^{2}+64t+4\\0=-16t^{2}+64t+4\\-16t^{2}+64t+4=0

Using the quadratic equation:

\frac{-b+-\sqrt{b^{2}-4ac } }{2a}=\frac{-64+-\sqrt{64^{2}-4*-16*4} }{2*-16}\\\\\frac{-64+-\sqrt{64^{2}-4*-16*4} }{2*-16}=\frac{-64+-\sqrt{4096+256} }{-32}\\\\\frac{-64+-\sqrt{4096+256} }{-32}=\frac{-64+-(65.96) }{-32}\\\\t1=\frac{-64+(65.96) }{-32}=-0.06\\\\t2=\frac{-64-(65.96) }{-32}=4.0615

So, at t=4.0615 the height of the softball will be 0.

Since we will work only with positive values of "x", since we are working with a function of time:

Let's start from "t" equals to 0 to "t" equals to 4.0615.

So, evaluating we have:

f(0)=-16(0)^{2}+64(0)+4=4\\\\f(1)=-16(1)^{2}+64(1)+4=52\\\\f(2)=-16(2)^{2}+64(2)+4=68\\\\f(3)=-16(3)^{2}+64(3)+4=52\\\\f(4.061)=-16(4.0615)^{2}+64(4.0615)+4=0.0034=0

Finally, we can conclude that:

- The softball reach its maximum height at t equals to 2. (68 feet)

- The softball hits the ground at t equals to 4.0615 (0 feet)

- At t equals to 0, the height of the softball is equal to 4 feet.

See the attached image for the graphic.

Have a nice day!

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=5x%20%20%2B%2011%287x%20-%203" id="TexFormula1" title="5x + 11(7x - 3" alt="5x + 11(7x - 3"
Murljashka [212]

82x - 33 ✅

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

5x + 11(7x - 3) \\  = 5x + 77x - 33 \\  = 82x - 33

\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}

3 0
2 years ago
4.7j-6.8k when j =5 and k =3
Oksanka [162]

Answer:

Your answer is 3.1

Step-by-step explanation:

Wherever you see j, substitute 5.  Wherever you see k, substitute 3

1.  Set up:  4.7(5)-6.8(3)

2.  Multiply 4.7 * 5, to get 23.5

3.  Multiply 6.8 * 3 to get 20.4

4.  Subtract 23.5-20.4

5.  Final anwer - 3.1

Hope this helps!

5 0
2 years ago
I need help in this question that is in the photo
mihalych1998 [28]
The answer is A, 1. In the statement x^2 >x, if we try 4, 5 and 8 for x, we get 16, 25 and 64 for x^2. The statement is true. But if we try x = 1, when we square it we still have 1. Therefore for x=1, x^2>x is false.
7 0
2 years ago
How many complex roots does the polynomial equation have?
Olegator [25]

Answer:

2

Step-by-step explanation:

The aquatic equation suggest that 1=1+9-2+69=420 so if you divide that by 69 again you get 2

8 0
2 years ago
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